TubeTalkTubeTalk Pronunciation
How to pronounce “binomial series”
Hear “binomial series” in real YouTube speech, then study definitions and example sentence snippets.
Pronunciation guide for binomial series
- Learning goal
- Practice the English pronunciation of binomial series with real speech in context.
- Available examples
- 8 YouTube examples
- Real speech example
- Summing it Up
in terms of these things called binomial coefficients--
- Definition summary
- (mathematics) The Maclaurin series expansion of the function f(x) = (1 + x)α, for arbitrary complex α; the series
Example 1 of 8
How to pronounce binomial series
Summing it Up
in terms of these things called binomial coefficients--
Example Sentences
A Deep Dive Into “binomial series”
Meaning
- [Noun]
- (mathematics) The Maclaurin series expansion of the function f(x) = (1 + x)α, for arbitrary complex α; the series
- ∑
- k
- =
- 0
- ∞
- (
- α
- k
- )
- x
- k
- {\displaystyle \textstyle \sum _{k=0}^{\infty }{\alpha \choose k}x^{k}}
- , where
- (
- α
- k
- )
- =
- α
- (
- α
- −
- 1
- )
- (
- α
- −
- 2
- )
- …
- (
- α
- −
- k
- +
- 1
- )
- k
- !
- {\displaystyle \textstyle {\alpha \choose k}={\frac {\alpha (\alpha -1)(\alpha -2)\dots (\alpha -k+1)}{k!}}}
- .
- (mathematics, loosely) The binomial theorem.
Practice Nearby Words
power series, binomial theorem, maclaurin series, maclaurin polynomial, formal power series, alternating series, binomial coefficient, abel sum, taylor series, exponential generating function, posynomial, binomial, series, jackson integral, infinite series, lacunary series, abel's summation formula, dirichlet series, trigonometric series, harmonic series, partial sum, taylor's series, k-function, hypergeometric series, generating function, abel polynomial, factorial, polynomial, abel-plana formula, monomial, posinomial, laurent series, development, grandi's series, principal part, mittag-leffler summation, hahn series, borel summation, abel's theorem, bernstein basis polynomial, appell-lerch sum, bang, binomial distribution, geometric series, summation method, analytic function, uncia, order, fibonacci polynomial, ultrapolynomial, christoffel-darboux formula, convergent series, factorialization, zeta function, arithmetic series, euler's continued fraction formula, hyperfactorial, multinomial, kummer's theorem, monoexponential, polynomial basis, bernoulli number, betafunction, euler-maclaurin formula, multiplicator, quintinomial, biexponential, de moivre's formula, polyexponential, beta function, faulhaber's formula, mittag-leffler function, elementary symmetric polynomial, multifactorial, gamma function, lambert series, double factorial, exponentiation, boas-buck polynomial, beta distribution, ramanujan summation, appell sequence, darboux's formula, progression, taylor polynomial, multinacci, exponential, sheffer sequence, exponential equation, fibonacci sequence, bivariable, riemann zeta-function, kronecker symbol, imaginary number, pseudopolynomial, binomiality, de bruijn sequence, basel problem, multiplee, k-adic notation
Similar Sounds
binomial theorem, binomials, binomial, beneficiaries, beneficiary, ben and jerrys, anomalies, ceniceros, seismosaurus, sample size